Answer:
162.1%
Step-by-step explanation:
Given that:
Size of previous living space = 1450 sq ft
Size of new living space = 3800 sq ft
% increase in living space ;
Increase in living space = 3800 - 1450 = 2350 sq feet
(Increase / previous size) * 100%
(2350 / 1450) * 100%
1.6206 * 100%
= 162.06%
= 162.1%
FE or line EF can be two other ways you could name EF
Answer:
scale factor is 3, k=3
Step-by-step explanation:
everything is being multiplied by 3
The diagonal of a rectangle = sqrt(w^2 + l^2)
w = width
l = length
In this problem,
The diagonal = 20 in
w = x
l = 2x + 8
Let's plug our numbers into the formula above.
20in = sqrt((x)^2 + (2x + 8)^2)
Let's simplify the inside of the sqrt
20 in = sqrt(5x^2 + 32x + 64)
Now, let's square both sides.
400 = 5x^2 + 32x + 64
Subtract 400 from both sides.
0 = 5x^2 + 32x - 336
Factor
0 = (5x - 28)(x + 12)
Set both terms equal to zero and solve.
x + 12 = 0
Subtract 12 from both sides.
x = -12
5x - 28 = 0
Add 28 to both sides.
5x = 28
Divide both sides by 5
x = 28/5
The width cant be a negative number so now we know that the only real solution is 28/5
Let's plug 28/5 into our length equation.
Length = 2(28/5) + 8 = 56/5 + 8 = 96/5
In conclusion,
Length = 96/5 inches
Width = 28/5
